Calculating-machine.



I. PLETNIK. CALCULATING MACHINE. APPLICATION FILED JUNE-13, 1910.

1,044,240; Patented N0v. 12,1912.

3 SHEETS-SHEET 1 MIIIIIIIIIIIIIIIIIIIIIIIIIIF I. PLETNIK. CALCULATINGMACHINE. APPLIGATION FILED JUNE 12, 1910.

Patented Nov. 12, 1912.

3 SHEETS-SHEET 2.

M i 1 r f I M 4/ v C /M 7% m Wm// P 1 S WY,

I. PLETNIK. CALCULATING MACHINE.

APPLICATION FILED JUNE 13, 1910.

Patented Nov 12, 1912.

3 SHEETS-SHEET F1917.

Fiqls' Fig.15

UNITED STATES PATENT OFFICE.

ITZ EK PLETNIK, OF TZCHERKASSY, RUSSIA.

CALCULATING-MACHINE.

Specification of Letters Patent.

Patented Nov. 1 2, 1912.

To all whom-it may concern:

Be it known that I, ITZEK PLETNIK, a sub- 'ect of the Czar of Russia,residing at zcherkassy, Russia, have invented a certa'in new and usefulImproved Calculating- Machine, of which the following is aspecification- This invention relates to calculating machines and hasfor its object to produce a simple apparatus, by means of which a unitor compound numbercan be multiplied or divided by a unit number and inwhich the tens of the multiplication of the lower order areautomatically added to the units of the multiplication of the nexthigher order. By simple addition of the products which 9 can be read offfrom the new apparatus,

the product of two compound numbers can then be obtained, while thequotient is found by subtraction. In order to attain this purpose, thefollowing arrangement is adopted: The products of multiplication of theunits 04) with the units 2-!) are so arranged in broken lines on theperiphery of rotary drums, flat slides or hands, that the units eachdrum, slide or band, in which the appertaining units and tens of theseparate .products of the numbcrs (H! with (H appear, 2'. c. theapertures are also arranged in pairs displaced relatively to one another(rm-responding to the broken lines on the periphery of the drums, slidesor hands in which the separate products are arranged. F urthcr, a secondouter sleeve or outer plate is provided with apertures arranged in astraight line and so arranged in relation to the middle of the drums,slides or hands that fi ures of the same order alwa s a wear in eachaperture. Lastly an arrangement is adopted by means of which, after adusting the given compound multiplicand, the multiplication f thisniultiplicand with any desired. multiplication from 1-9is made to appearin the above mentioned apertures by spindle.

ing the outer plate.

Reference will now be made to'the accompanying drawings, in whichvarious forms of apparatus constructed in accordance with the inventionare illustrated.

Figure 1 represents one form of appara- "tus in accordance with theinvention of a cylindrical form and during the multiplication of 561by 1. Fig. 2 is a section on the linp I-I of. Fig. 1. Fig. 3 shows themain spindle of the apparatus carrying the various drums, the figures onthe periphery being omitted for the sake of clearness. Fig. 4 is asection on the line IIIl. of Fig. 3. Fig. shows the inner sleevearranged. over the drums and having the apertures i or the products ofthe units 19 when multiplied by the units ].--9 arranged in pairs anddisplaced relatively to one another. Fig. 6 is a section on'theline ll Iill of Fig. 5. Fig. 7 represents a modified type of the spindle and.drum. Fig. 8 is a section on the line lV-TV of Fig. 7. Fig. E) is alongitudinal. sectional elevation oi. a modification in the constructionof the drums and their arrangement upon the main Fig. 10 is a sideelevation of the arrangement in Fig.9. Fig. ll shows a developed view ofthe essential parts of the apparatus when of cylindrical form and a planview of the fiat type. Fig. 12 shows a development. of the periphery ofone of the drums on thennain spindle oi the cylindrical apparatus.whichis also a view oi one of the slides or the bands of the tint typoot the apparatus, wherein the multiplicands are shown arranged in themiddle row in the order 0, 9, 8, 7, etc. and the products of themultiplication oi each unit of the middle row with the figures 24), intwo lines divided into four stepped portions. Fig. 13 is a viewesscntially similar to Fig. 12. only that. here the mult'iplicands areurrai'igcd in the order 0, l. 2, 3, etc. in Fig. 1-4 the products arerepresented as thcy ap. pear consecutively in the apcrtul'cs oi theoutcr sleeve or plate of the apparatus when multiplying the number 501with the numher "265. Fig. 15 shows a. development of a cylindricalapparatus or a plan of a flat apparatus with three figure drums, s idesor hands, whereby the separate products are arranged in lines having'twostepped poi-- tions. F igs. 16 and 17 show the .c0rre simply turning theouter drum or by movsponding drum peripheries or the slides, whereby themultiplicands in the middle row run in the one case in the order 0,'l,2, 3, etc., and in the other in the-order 0, 9, 8, 7, etc. Fig. 18 is aview similar to Fig. 15 only that in this type the separate products arearranged in rows arranged in three steps on the drums or slides. Fig. 19shows the developed periphery of a drum belonging to the type shown .inFig. 18 or a plan of a slide or band. In Fig. 20 the cylindrical type ofthe apparatus as shown in Figs. 18 and 19 is illustrated in elevationduring the multiplication of the number 561 with 5.

In the cylindrical type the apparatus consists of a spindle A (Figs. 2,3, 4, 5, 6 and 11 on which are fitted the drums B, and end drums O and0. These drums are enveloped by a drum P, which can be inserted in anouter sleeve C (Figs. 1, 2, and 11). Drums 0 and O serve the purpose ofspacing sleeve P from drums B so that the lattcr may rotate freely.

A transverse opening A (Figs 2, 3, 4 and 6) is provided in the spindle Afor each drum B, in which a spring is arranged abutting at its ends uponballs K. The length of the spindle A corresponds to the dimensions ofthe drums B, O and 0 carried by same. Each hub 15 of the drums B (Figs.2, 3, 4-, 5, 6, 11, 12 and 13) is provided with ten recesses 13distributed at equal distances over the whole periphery. Thespring-actuated balls K enterthe recesses B and thus connect the drums Bwith the spindle and thus serve to check rotation of drums B except asdesired. The inner diameter of the hub B is somewhat greater than thediameter of the spindle A, so that. the drums B may easily rotate aroundthe latter. The end drums'O and O and inclosing sleeve P are secured tothe shaft IT by a set screw.

'lhe'products of all figures from 9 to 9 multiplied with the figures 2to 9 are arranged in stepped rows on the peri hery of each of the drumsl) or, in a flat type of the apparatus, on the slides or hands B (Figs.12, 13, 1(5, 17). Fig. 12 shows, by way of example, such an arrangementof the products on the developed periphery of one of the drums B or on aflat slide or a band, the multiplicands in the middle row being arrangedin the order 0, 9, 8, 7, etc. The products of 2 to 9 are arranged inlines broken up into four steps on both sides of the middle row, theunits of the products being on the right and the tens on the left of themiddle row. The middle row represents the products of the multiplicationwith 1. In Fig. 12 the distribution of the products of themultiplication of 4 with all figures from .2 to 9 is indicated by dottedlines. The units of the products of the mul tiplication of 4 with '2 and3 lie under one another under the first step of the broken line. whilethe tens of these products lie under the first step of the broken lineindicated to the left of the'middle row; the units of the products ofthe multiplication of a with the figures at and 5 lie under one anotherunder the second right hand step, while the tens of these products willbe found under the second left hand step; the units of the products ofthe multiplication of 1 with 6 and 7 are arranged under one anotherunder the third right hand step and the tens of these products under thesame left hand step; in the same way the units and tens of the productsof the multiplication of 4 with 8 and 9 are arranged to the right andleft of the middle multiplicand row under the fourth step of the brokenline, 2'. e. the units of the product of the multiplication of with 9are found in the outer of the four right hand rows, while the tens ofthis product lie on the inner of the four left hand rows of figures. Theproducts of the multiplication of all. multiplicands of the middle rowwith all figures from 2 to 9 are also distributed in the same mannerover the peripheries of the drums, or on the flat slides or bands 13,the places with 0 being leftblank for simplicity. As already mentionedabove, the arrangement in Fig. 13 only differs from that in F ig. 12 inthat with the former the multiplicands of the middle row are arranged inthe order 0, 1, 2, 3, etc, while in Fig. 12 they run in the order 0, 9,8, 7, etc.'

In Fig. 13 the products of the multiplicw. tion of the unit 9 with allunits from .2 to 9, as well as those of the multiplication of the unit 4with all units from 2 to 9 in Fig. 12, are emphasized by dotted lines.The

order of the multiplicands in the middle row is quite in'uuaterial; forexample, the multiplicands on the one drumcan occur in one order and inanother order on the other drum; in the same way the multiplicands caneven be arranged without regard to any regular order whatever, e. g. 1,9, 4, 7, 3, etc. without the action of the apparatus being influencedthereby, or the manipulation being subjected to any alteration. Thechiet thing is that the products of the multiplication of each mult'iplicand are arranged in the manner described above, each in two rowshaving four steps. This division of the products in two lines broken upinto four steps results in all products of the multiplication of theunits from O to 9 with the units 2 to 9 being arranged on the peripheryof each drum or on each slide or band B in eight rows, the units in thefour right hand and the tons in the four left hand rows.

In order that the various stepped rows in Figs. 12 and 13 may be easilypicked out the following general description is given.

the right to the first column counting from the middle. Now movedownward missing the first numeral encountered, and thesecond numeral isthe unit of the product obtained by multiplying the selectednumber.

by 2, while the numeral -iust below this is the unit of the productobtained by multiplying by 3. Now move to the right to the second columnand then downward, missing the first numeral encountered as before, andthe second numeral encountered is the unit of the product obtained bymultiplying the selected number by 4, and is also the first number ofthe second step. The number just under this last number is the unit ofthe product ob tained by multiplying the selected number by 5. If thesame method is repeated, the third step will be found, and then thefourth step can be found in a similar way. In order to find the tens ofthe product, move to the left to the fourth column, and

repeat the method set out above.

The drums or wheels O and' 0 (Figs. 1, 3, 5 and'll) are wedged tightlyon the spindle A They serve as supports for the sleeve P and at the sametime hold the figure drums B tightly on the spindle A. The diameters ofthe drums O and are some what larger than those of the figure drums B.The surface of the drum 0 is quite smooth and narrow, while the drum 0is longer and may have a groove in its surface which corresponds to theslot P in the sleeve P (Figs. 5 and 11). Instead of the groove, the drum0 can also be of smaller diameter in its central portion-as shown inFig. 3 corresponding to the extension of the slot P hereinafterdescribed.

The sleeve P, which can be replaced by an ordinary plate in a flat typeof the apparatus, fits tightly -on the drums O and O and as thediameters of the latter are made somewhat larger than those of thefigure drums B, there remains a small amount of clearance between theinner surface of the sleeve P and the peripheries of the figure drums B.For each figure drum, slide or band, of which there can be any desirednumber, the sleeve P is provided with an aperture P and two of each ofthe apertures P, P, P and P", and of course these apertures may becovered with suitable transparent material. The apertures P are soarranged that any multiplicand of the middle row of the correspondingfigure drum appears therein, when the drum in question is retained inany position on the spindle A by the check action? described above;simultaneously the units and tens of the products from themultiplication of the unit visible in P with 2 and 3, appear'in the twoapertures P; the products obtained by the multiplication of themultiplicand in question in the middle row with the figures 4 and 5appearing in the apertures P; those given by the multiplication with 6and 7 in the pair of'apertures P while finally the products from themultiplication of the corresponding multiplicand by 8 and 9 appear inthe apertures P. The apertures P P, I and P" must therefore correspondto the rows which are stepped four times and in which the variousproducts are arranged on the figure drums, slides or hands. Further, anaperture P is provided in the sleeve P, which permits of the figure drumB being turned with the finger. of the totally inclosed sleeve P aslotted shield can also be used, only extending so far around'the figuredrum as is necessary for the accommodation of the apertures P P, P, Pand P.

The sleeve or shield P is provided with a slot P" or groove at one endwhich runs in four steps similarly to the rows of products on the figuredrums (Figs. 5, 11, 12 and 13), whereby the first step can be somewhatbroader than that on the figure drums, but not longer. The one edge ofthe slot P may be provided with teeth or recesses corresponding to thepositions of the products of the multiplication by 1, 2, 3, 4, etc. onthe figure drums B. Further, the numbers 1, 2, 3, etc., to 9 arearranged at one or both ends of the sleeveor shield P in an interruptedrow similar to that of the slot P (Fig. 11). The entire system of thesleeve P and the drums O and O is tightly fixed on the spindle A by ascrew,passing through the drum 0 or 0 or other suitable means andinserted together in an outer sleeve C.

- In the cylindrical type of the apparatus, the outer sleeve 0 (Figs. 1and 11) is shaped as a tube closed at one end, while-in the flat type ofthe calculating apparatus it can be replaced by an ordinary fiat lid. Inwidth and length the sleeve C is somewhat larger than the sleeve orshield P, so that the whole system connected together and as mentionedabove can easily move in'the outer sleeve C. The outer sleeve C has anaperture C apertures C the number of which exceeds by one the number offigure drums B the extra aperture (shown to the left of Fig. 1) beingnecessary for seeing the figures of the left hand drum which is moved tothe left when the machine is operated, as well as apertures C, thenumber of which corresponds to that of the figure drums B. The apertureC? is hereinafter designated the multiplicator aperture. The apertures Care so arranged on the outer sleeve C that they register with the slotsP in the sleeve or shield P, when the unit 1 of the shield P appears inthe multiplicator aperture C of the sleeve C,

Of course in place whereby the spaces between the apertures C in thecorresponding position of the whole system, register with one or two ofthe outer left .hand row of figures on the drums B. Therefore it is onlyessential that the left edge of each space between the apertures Cshould register with the outer left hand row of figures of thecorresponding figure drum. The first right hand aperture C and thefirst. left hand aperture may be somewhat shortened on the right andleft side respectively, so that both outer apertures C appear somewhatshorter than the middle ones. (Figs. 1 and 11.) The various apertures Gcan also be replaced by a single long slot, the. above. described spacesbetween each of the apertures C whiclt are of greatimportanco for theuse of the apparatusfbeing replaced by marking- (painting with anothercolor or the like) the centers between the pairs ol -apertures P, P, Pand P", so that the tens of the products of the one drum and the unitsof the products of the next left hand drum (of higher order) appearbetween each two such marks as figures of the same order. Such markingsare indicated in the Figs. 11, 15 and 18 by dotted lines.

A slotted bar M is soldered or screwed on the sleeve C above theapertures G on which a shield H is adapted to slide (Figs. 1 and 2). Theslotted bar M is provided with recesses M corresponding to thespacesbetween the apertures O The upper edge of the shield H is fastened tothe slotted bar M, while the smaller portion of same extending downwardcovers the left half of an aperture C when the knob H of the shieldengages with one of the recesses M mentionerl above. The knob H may beprovided with a spring-actuated ball which is adapted to snap into one.of the recesses M for the purpose of temporarily fixin the shield H.Further, a pin or screw l 2 extending inwardly is provided on the sleeveC, whichengages with the first or upper recess of the slot P in theinner sleeve oishield P on the unit appearing in the multiplicatoraperture C The arrangement of the above mentioned parts inthecylindrical type of the apparatus is as follows :-Tn the center isthe spindle A (Figs. 3, 4 and 11). The figure drums B and the end drumsO and O are fitted on the spindle A, the drum B being so adjusted thatthe spring-actuated balls K snap in the recesses B in the hubs B andprevent the drums B being turned unintentionally. The whole is then soinserted in the sleeve or shield P that any'unit of the middle ,row offigures of each-drum is visible through the corresponding aperture P (Fi 11) in the sleeve P, and that the slot 1 registers with the taper orrecess in the druni O, whereupon the sleeve or shield P is connected tothe spindle A in the-manner de scribed above. The outer sleeve C isarranged over the sleeve or shield P and the pin or screw M, whichengages with the upper end of the slot I, when the unit 1 of the shieldP appears in the multiplicator aperture C is then inserted.

By this arrangement of the various parts the apparatus is distinguishedby the following teatures:---(a.) When the unit 1 of the shield l isvisible in the multiplicator aperture C of the outer sleeve C, thefigure drums B can be so turned with the finger through the apertures Cthat the desired multiplicand number appears in the apertures C of eachdrum. (6.) By means of the part of the drum O projecting out of thesleeve C the inner system can be turned in the outer sleeve C, wherebythe entire inner system will move to the left during this turning in thesleeve C owing to the engagement of the pin or screw M 'in the slot P,so that during the adjustment of the multiplicator aperture on thenumber 2, the apertures P ,at the same time also move one step to theleft, so that the tens of the rod not obtained by the multiplication othe originally adjusted multiplicand with 2, will not appear in the sameaperture C as the original multiplicand, but in the next left hand one,in which however the units of the multiplication of the nextmultiplicand with 2 will also appear. The same will occur during the adustment of the multiplicator aperture 3 on 3, 4, 5, etc., the pairs ofapertures P 1, P and P turning and moving to the left simultaneously.Owing to this feature, the multiplication of an desired compound numberwith any desired unit can e effected with the apparatus. For example,the number 561 is to be multiplied by 2. .The apparatus is first set sothe the number 1 is seen through the multiplicator aperture C, while theapertures P are beneath the apertures G. Then the drums B are soadjusted that in the third aperture G (from the right) the number 5appears, in the second the number 6 and in the first the number 1. Onrelative rotation of the sleeves, the apertures P, P, etc., register inturn with apertures C in order tocxpose the proper product numbers ondrums B, and in t 5 example taken the inner system is turned in thesleeve C by means of O until the multiplicator 2 appears in C, whereuponthe number 112:2 will a pear in the apertures C 1 c. the product 0 56l2. To multiply the same number 561 with 6 the system is turned in thesleeve C until the number 6 appears in the multiplicator aperture Cwhereupon the number 3366 will appear in the apertures C. On adjustingthe multiplication aperture C on 5th e number 2 will appear in thefourth aperture C*.(from the right), in. the third the numbers 5 and 3,in the second nothing and in to an adding the first the number 5.According to the above, however, this indicates the number 2 (5+3)0522805.

In Fig. 14 the multiplication of two multiciphcr numbers (561x265) isshown diagrammatically, the products of the successive multiplication ofthe number 561 by 2, 6 and 5 being arranged under one another as theymust be read off from the apparatus, for the purpose of addition ortransferred apparatus.

The division of two numbers can be effected in the following manner withthe apparatus :-For example, the number 148665 is to be divided by 561.After so adjusting the sleeve C that the number 1 appears 1n 0, thefigure drums are adjusted to the divisor 561. By turning the innersystem in the sleeve the number 1122 will be found in the apertures C asthe greatest possible subtrahend for the first (left hand) numbers ofthe dividend, whereby 2 will appear simultaneously in C as the firstnumber of the quotient. After subtraction of the first greatest possiblesubtrabend, the second greatest possible subtrahend 3366 is found in themanner described, whereby 6 appears in C as the second number of thequotient, and lastly the number 2805 is found as third reatest possiblesubtrahend and 5 as thir number of the quotient. Theshield H onl servesto separate the numbers being us from those not entering intoconsideration. If 6 figure drums are provided in the apparatus and threefigure number is to be multiplied, the knob H is preferably placed nextto the third space between the apertures C so that to the right of theshield H, only 3 apertures C and a part of the fourth aperture arefree.. In the absence of such a shield the figure drums which do notcome into consideration in the same operation as described above, wouldhave to be adjusted on O.

In the type of apparatus as shown in the Figs. 7 and 8 ten orifices orrecesses A are provided on the periphery of the spindle A for each drumB, While a small tube L extends from the periphery of the drum to thehub, in which a spring is arranged and tends to press a ball K in theopenlngs A In the modification shown in the Figs. 9 and 10 disks arewedged on the spindle A, which are provided with ten openings orrecesses E on the sides; the drums B carry small tubes L arrangedlongitudinally with the spindle A, in which springs are arranged bywhich balls or rounded pins K are pressed into engagement with therecesses E The guidance of the inner s stein in the sleeve C can beequally well e ected by providing a slot or recess in the outer sleeveG, into which a pin on the inner sleeve or shield P projects, so thatthis outwardly projecting pin can serve at the same time to only asingle long aperture C? is provided for all the figure drums, theguideslot P can be dispensed with, especially if the shield H is absent.Further, the apparatus can also be used without the outer sleeve 0',especially in the flat type, whereby all separate products will then bevisible simultaneously through the apertures in the shield P; Theseparate roducts can also be equally well arranged 1n rows withtwo orthree steps. In the first case the multiplicands are arranged in anydesired order in the middle row, 6. g. 0, 1, 2, 3, etc., (Fig. 16) or 0,9, 8, 7, etc., (Fig. 17), under the first step the products of themultiplication by 2, 3, 4: and 5 and under the sec- 0nd step those ofthe multiplication by 6, 7, 8 and 9, whereby the same as in thearrangement described at the. commencement, the units come to lie to theright and the tens of the products to the left of the middle row. Theresult of this arran ement is that all products are distribute in 5rows, of which the two lying on the right of the middle row ofmultiplicands contain the units and the two to the left of the middlethe tens of the products. To pick out the stepped rows in Figs. 16 and17, the methodgiven in connection with Figs. 12 and 13,-should befollowed, with the exception that,-having found the first figure of thefirst step, it is then necessary to move down three figures, as thereare four numerals in the first step. The next step can then be found,and will also contain four numerals. The apertures in the shield P (Fig.15) will also correspond to the arrangement of the products on thefigure drums B (Figs. 16 and 17) namely one aperture P for the middlemultiplicand row, a pair of apertures P for the products of themultiplication by the figures 2, 3, 4; and.5 and a pair of apertures Ifor the products of the multiplication with i the will have to registerwith the left row of figures of the figure drum in question.

With the arrangement of the products in rows with three steps, theproducts of the;

multiplication with the numbers 1, 2 and 3 lie under the first step,those of the multiplication by 4, 5 and 6 under the second step\ andthose of the multiplication with 7, 8 and 9 under the third step. Theapertures in the inner sleeve or shield I will eorrespond with theproper figures on the figure drums B (Fig. 19) namely an aperture" P forthe middle row of each figure drum,

6 BEST AVAILABLE COPY a pair of apertures P for the multiplication withl, 2 and 3, a pair P for the prodnets of the multiplication with 4, 5and 6 and a pair P for the products of the multiplication by T, S and 9,while no alteration is necessary on the outer sleeve.

Having now described my invention What I claim as new and desire tosecure by Letters Patent is:

1. A calculating machine, comprising in combination a plurality ofsurfaces, a central row of units on each surface representing themultiplicand, stepped rows of figures on one side of said central rowrepresenting the units of the product, stepped rows of figures on theother side of said central row re 'iresenting the tens of the products,and means whereby the surfaces may be adjusted relatively to each other.

2. A calculating machine, comprising in combination a plurality ofsurfaces, a row of units 0 to t) centrally arranged on each surfacerepresenting the multiplicand, rows of figures in four steps on eachside of said row representing respectively the units and tens of theproduct, and means whereby the surfaces may be adjusted relatively toeach other.

3. A calculating machine comprising in combination, a spindle, aplurality of rotary drums thereon each bearing a central row ofmultiplicz-inds and stepped rows of multiplication products on each sidethereof, an apertured sleeve surrounding the drums relatively to whichthe latter may be turned, in order to render visible each multiplicandand also the units, tens, and so on of the products resulting from themultiplication of the visible rnultiplicand with all units from 1' to 9.

i. A calculating machine comprising in combination, a spindle, aplurality of rotary drums thereon, each bearing a central row ofmultiplicands and stepped rows of multiplication products on each sidethereof, a plurality of apertured sleeves surrounding the drumsrelatively to which the tary drums thereon each bearing a central row ofmultiplicands and stepped rows of multiplication products on each sidethereof, a sleeve around the drums with sets of apertures thereincorresponding to the units and tens of the various drums, and having astepped row of figures thereon, and a stepped slot therein, means formoving the drums relatively to the sleeve so that the desired productmay be viewed.

6. A calculating machine comprisin in combination, a spindle, aplurality o rotary drums thereon each bearing a central row ofmultiplicands and stepped rows of multiplication products on each sidethereof, an inner and an outer apertured sleeve surrounding the drumsrelatively to which the latter may be rotated, apertures in the outersleeve so arranged that the left edge of the sleeve material between twoapertures is adapted to come over the left outer row of figures on thefigure drums and a guide whereby the apertures showin the units and tensof the separate products, when the spindle is turned around during theadjustment of the multiplicator in its aperture, also simultaneouslyreceive a corresponding movement so that figures of the same orderalways appear in each of the apertures in the outer sleeve.

7. A calculating machine comprising in combination, a splndle, a seriesof rotary drums thereon bearing multiplicands and tured sleevesurrounding the drums, means whereby the drums may be rotated relativelyto one another and means whereby all the drums and inner sleeve aresimultaneously rotated and longitudinally adjusted relatively to theouter apertured sleeve for the purpose described.

9. A calculating machine comprising in combination, a spindle, a seriesofirotary drums thereon bearing a central row of multiplicand figuresand stepped rows of product figures, an inner and an outer aperturedsleeve surrounding the drums, means whereby the drums maybe rotatedrelatively to one another into predetermined positions and temporarilyretained therein, and means whereby all the drums and inner sleeve aresimultaneously rotated and longitudinally adjusted relatively to theouter sleeve for the purpose described.

10. A calculating machine comprising in combination, a spindle, a seriesof rotary drums thereon bearing a central row of multiplicand figuresand side groups in steps of product figures, an inner and an outerapertured sleeve surrounding the drums, means whereby the drums may berotated relatively to one another into predetermined positions andtemporarily retained therein,

a slot in the outer sleeve, a slide movable relatively to the slot, andmeans whereby all the drums and inner sleeve are simultaneously rotatedand longitudinally adjusted relatively-to the outer sleeve for thepurpose described.

11. A calculating machine comprising in combination, a spindle, a seriesof rotary drums thereon, bearing a central row" of multiplicand figures"and stepped rows of product groups, inner apertured sleeve surroundingthe dfgims and having at one end a stepped slot-and bearing a steppedrow of multiplieatoi's, an 'outer apertured sleeve, a pin thereonengaging the stepped slot on the inner sleeve, means whereby the drumsmay be rotated relatively to one another into predetermined positionsand temporarily retained therein, a slot in the outer sleeve, a slidemovable in the slot, and means whereby all the drums and inner sleeveare simultaneously rotated and longitudinally adjusted relatively totheo'uter sleeve as and for the purpose described,

In testimony whereofi-Laflix my signature in presence of two witnesses.

I'LZEK PLETNIK. Witnesses: 3

, H. A. LovIAoUINn,

M. INIVARENDRE.

